In a ΔABC, if 4∠A = 3∠B = 12∠C, find ∠A?

Answer: Option C

$$\begin{array}{rl}& \text{4}\angle \text{A}=\text{3}\angle \text{B}=\text{12}\angle \text{C}\\ & \text{A}:\text{B}:\text{C}=\frac{1}{4}:\frac{1}{3}:\frac{1}{12}\\ & \text{A}:\text{B}:\text{C}=3:4:1\\ & \text{Now,}\\ & 3x+4x+x=180^{\circ }\\ & 8x=180^{\circ }\\ & x=\frac{{180}^{\circ }}{8}\\ & \angle \text{A}=3x=\frac{{180}^{\circ }}{8}\times 3\\ & =67.5^{\circ }\end{array}$$